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Finding the Fourth Proportional to 3,274.24, 4,911.41 and 934.30

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Solution

The fourth proportional to 3,274.24, 4,911.41 and 934.30 is: 1,401.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.24 : 4,911.41 = 934.30 : x
  2. Step 2: Convert to fraction form
    3,274.24/4,911.41 = 934.30/x
  3. Step 3: Cross multiply
    3,274.24x = 4,911.41 × 934.30
  4. Step 4: Simplify right side
    3,274.24x = 4,588,730.36
  5. Step 5: Solve for x
    x = 4,588,730.36/3,274.24
  6. Step 6: Final answer
    x = 1,401.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.